多层隔振系统多向冲击响应计算

本文研究了由多刚体组成的多层隔振系统，获得了多刚体振动系统在总体坐标系描述下的力学模型，找到了微分方程运动变量与系统广义坐标向量之间的一个重要变换公式（LG变换），指出了在总体坐标系下多刚体振动系统振型的物理意义，导出了该系统振动分析的有关计算公式，并且首次在基础多向冲击激励输入情况下，求得了系统的冲击响应，最后给出一计算实例。

SHOCK RESPONSE CALCULATION OF MULTI-STAGE ISOLATION SYSTEM

This paper deals with vibration and shock response of multi-stage isolation system which is composed of rigid bodies. The mechanical model of the system described with global coordinates is established. An important relationship (LG transform) between the generalized coordinate vector of the system and the motion vector in differential equation is obtained. The physical sense of the eigen mode is presented and the formulas about vibration analysis of the system are derived. The responses of the system excited by multidirection pulses are first obtained, and a calculation example is given at last.